Introducing Statistical Operators: Boundedness, Continuity, and Compactness
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maik Nauka/Interperiodica/Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Many studies have been conducted on statistical convergence, which remains an area of active research. Since its introduction, statistical convergence has found applications in many fields. Nevertheless, there is a shortage of studies related to operator theory; especially of those on continuous, bounded, and compact operators. We explore the notions of statistical boundedness, continuity, and compactness of operators between normed spaces, establishing connections between these concepts and their counterparts in the traditional normed space theory. Additionally, we provide some examples and results that demonstrate the behavior and implications of statistical convergence in operator theory.
Açıklama
Anahtar Kelimeler
statistical convergence, statistically bounded operator, statistically continuous operator, statistically compact operator, 517.982
Kaynak
Siberian Mathematical Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
65
Sayı
5
